Analysis on Non-Riemannian Symmetric Spaces (CBMS Regional Conference Series in Mathematics) - Softcover

Flensted-Jensen, Mogens

Softcover

ISBN 10: 0821807110 ISBN 13: 9780821807118

Publisher: American Mathematical Society, 1986

Synopsis

Harmonic analysis on Riemannian semi simple symmetric spaces and on special types of non-Riemannian semi simple symmetric spaces are well-established theories. This book presents a systematic treatment of the basic problems on semi simple symmetric spaces and a discussion of some of the more important recent developments in the field. The author's primary contribution has been his idea of how to construct the discrete series for such a space.In this book a fundamental role is played by the ideas behind that construction, namely the duality principle, the orbit picture related to it, and the definition of representations by means of distributions on the orbits. Intended as a text at the upper graduate level, the book assumes a basic knowledge of Fourier analysis, differential geometry, and functional analysis. In particular, the reader should have a good knowledge of the general theory of real and complex Lie algebras and Lie groups and of the root and weight theories for semi simple Lie algebras and Lie groups.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1986
• Language: English
• ISBN 10: 0821807110
• ISBN 13: 9780821807118
• Binding: Paperback
• Number of pages: 77